Answer:
f(6) = 24
Step-by-step explanation:
f(x) = x^2 - 2x
Let x = 6
f(6) = 6^2 - 2(6)
= 36 - 12
= 24
7. X=5
8. X=6
9. B=-3
10. G=3.4
a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6
5
= 30
4
= 360
2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5
4
= 20
3
= 120
1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3
2 6 ways to arrange 3 couples in a row, the husband always to the left
Slope intercept form is y=mx+b
to solve for m (slope) you must first subtract y2-y1 and x2-x1 then divide your answers
-1 - -5 = 4 (y)
2 - 4 = -2 (x)
4/-2 = -2
so your slope is -2
next plug in your slope and the point you choose
-1 = -2(2) + b
or
-5 = -2(5) +b
Answer:
T=-12
Step-by-step explanation:
Isolate variable by subtracting 4 on both sides
t=-12